In topology optimization of structures, materials and mechanisms, parametrization of geometry is often performed by a grey-scale density-like interpolation function. In this paper …
In the context of shape optimization, we seek minimizers of the sum of the elastic compliance and of the weight of a solid structure under specified loading. This problem is known not to …
This work is an attempt to provide a unified presentation of methods for the optimal design of topology, shape and material for continuum and discrete structures. The emphasis is on …
We introduce elastic textures: a set of parametric, tileable, printable, cubic patterns achieving a broad range of elastic material properties: the softest pattern is over a thousand times …
O Sigmund, S Torquato - Journal of the Mechanics and Physics of Solids, 1997 - Elsevier
Composites with extremal or unusual thermal expansion coefficients are designed using a three-phase topology optimization method. The composites are made of two different …
B Mohammadi, O Pironneau - 2009 - books.google.com
The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many …
LV Gibiansky, O Sigmund - Journal of the Mechanics and Physics of Solids, 2000 - Elsevier
This paper is devoted to the analytical and numerical study of isotropic elastic composites made of three or more isotropic phases. The ranges of their effective bulk and shear moduli …
O Sigmund - Journal of the Mechanics and Physics of Solids, 2000 - Elsevier
The paper presents a new class of two-phase isotropic composites with extremal bulk modulus. The new class consists of micro geometrics for which exact solutions can be …
We use a topology optimization method to design 1–3 piezocomposites with optimal performance characteristics for hydrophone applications. The performance characteristics …